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We analyze the probability of a single loop formation in a long flexible polymer chain in disordered environment in $d$ dimensions. The structural defects are considered to be correlated on large distances $r$ according to a power law $\sim…

软凝聚态物质 · 物理学 2016-04-14 K. Haydukivska , V. Blavatska

A self-interacting polymer with one end attached to a sticky surface has been studied by means of a flat-histogram stochastic growth algorithm known as FlatPERM. We examined the four-dimensional parameter space of the number of monomers up…

统计力学 · 物理学 2009-11-10 J. Krawczyk , A. L. Owczarek , T. Prellberg , A. Rechnitzer

The molecular dynamics simulations were used to obtain the radius of gyration of real ring polymer chains with different topological structures consisting of 360 monomers. We focus on the entropic force which is exerted by a dilute solution…

软凝聚态物质 · 物理学 2024-01-18 P. Kuterba , Z. Danel , W. Janke

Linear polymers are represented as chains of hopping reptons and their motion is described as a stochastic process on a lattice. This admittedly crude approximation still catches essential physics of polymer motion, i.e. the universal…

统计力学 · 物理学 2015-05-18 J. M. J. van Leeuwen , Andrzej Drzewinski

We investigate the effects of topological constraints (entanglements) on two dimensional polymer loops in the dense phase, and at the collapse transition (Theta point). Previous studies have shown that in the dilute phase the entangled…

软凝聚态物质 · 物理学 2009-11-10 Andreas Hanke , Ralf Metzler , Paul G. Dommersnes , Yacov Kantor , Mehran Kardar

We simulate entangled linear polymers in free-standing thin film geometries where the confining dimension is on the same scale or smaller than the bulk chain dimensions. We compare both film-averaged and layer-resolved, spatially…

软凝聚态物质 · 物理学 2016-08-24 Daniel M. Sussman

In this work a new strategy is proposed in order to build analytic and microscopic models of fluctuating polymer rings subjected to topological constraints. The topological invariants used to fix these constraints belong to a wide class of…

统计力学 · 物理学 2020-01-08 Franco Ferrari

We enumerate all minimal energy packings (MEPs) for small single linear and ring polymers composed of spherical monomers with contact attractions and hard-core repulsions, and compare them to corresponding results for monomer packings. We…

软凝聚态物质 · 物理学 2015-05-18 Robert S. Hoy , Corey S. O'Hern

The influence of monomer-monomer interactions on the scaling exponents and shape characteristics of a single polymer chain in a selective solvent is investigated using Langevin dynamics simulations. By systematically increasing the…

软凝聚态物质 · 物理学 2025-04-01 K. Haydukivska

We discuss the entropy of a circular polymer under a topological constraint. We call it the {\it topological entropy} of the polymer, in short. A ring polymer does not change its topology (knot type) under any thermal fluctuations. Through…

统计力学 · 物理学 2009-11-07 Miyuki K. Shimamura , Tetso Deguchi

Entanglement of polymer chains is ubiquitous in elastomers, gels, and biological tissues. While the effects of chain entanglement on elasticity and viscoelasticity of polymer networks have been intensively studied, it remains elusive how…

软凝聚态物质 · 物理学 2021-12-24 Dongchang Zheng , Shaoting Lin , Jiahua Ni , Xuanhe Zhao

The breakage of a polymer chain of segments, coupled by anharmonic bonds with applied constant external tensile force is studied by means of Molecular Dynamics simulation. We show that the mean life time of the chain becomes progressively…

软凝聚态物质 · 物理学 2015-05-27 J. Paturej , A. Milchev , V. G. Rostiashvili , T. A. Vilgis

We derive an effective Maxwell-London equation for entangled polymer complex under the topological constraint, borrowing the theoretical framework from the topological field theory. We find that the transverse current flux of the test…

软凝聚态物质 · 物理学 2015-10-12 Ki-Seok Kim , Sandipan Dutta , YongSeok Jho

The conformational statistics of ring polymers in melts or dense solutions is strongly affected by their quenched microscopic topological state. The effect is particularly strong for untangled (i.e. non-concatenated and unknotted) rings,…

软凝聚态物质 · 物理学 2019-03-14 Raoul D. Schram , Angelo Rosa , Ralf Everaers

We perform equilibrium Langevin dynamics simulations to understand the structure-viscoelasticity relationship of a dually crosslinked reversible polymer network. The cross-linking is achieved by introducing orthogonal crosslinkers (A and B)…

软凝聚态物质 · 物理学 2023-11-01 Mounika Gosika , Angel J. Moreno

Reversible crosslinking is a design paradigm for polymeric materials, wherein they are microscopically reinforced with chemical species that form transient crosslinks between the polymer chains. Besides the potential for self-healing,…

软凝聚态物质 · 物理学 2019-04-29 Nicholas B. Tito , Costantino Creton , Cornelis Storm , Wouter G. Ellenbroek

We consider equilibrium relaxation properties of the end-to-end distance and of principal components in a one-dimensional polymer chain model with nonlinear interaction between the beads. While for the single-well potentials these…

软凝聚态物质 · 物理学 2015-05-13 S. Fugmann , I. M. Sokolov

We propose a two-body spherically symmetric (isotropic) potential such that particles interacting by the potential self assemble into linear semiflexible polymeric chains without branching. By suitable control of the potential parameters we…

软凝聚态物质 · 物理学 2018-05-09 Alex Abraham , Apratim Chatterji

Polyelectrolytes in poor solvents show a necklace structure where collapsed polymer pearls are linked to stretched strings. In the present paper the elasticity of such chains is studied in detail. Different deformation regimes are…

软凝聚态物质 · 物理学 2007-05-23 T. A. Vilgis , A. Johner , J. -F. Joanny

We investigate the role of fluctuations in single molecule measurements of torque-link ($t-lk$) curves. For semiflexible polymers of finite persistence length (i.e. polymers with contour length $L$ comparable to the persistence length…

软凝聚态物质 · 物理学 2009-11-13 Supurna Sinha
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